(2+1) gravity for higher genus in the polygon model

Details (2+1) gravity for higher genus in the polygon model (2+1) gravity for higher genus in the polygon model

2003-12-07

arxiv.org/abs/gr-qc/0312043v2

Class.Quant.Grav. 21 (2004) 2465-2491

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages, 22 figures

Scientific paper

10.1088/0264-9381/21/9/020

We construct explicitly a (12g-12)-dimensional space P of unconstrained and independent initial data for 't Hooft's polygon model of (2+1) gravity for vacuum spacetimes with compact genus-g spacelike slices, for any g >= 2. Our method relies on interpreting the boost parameters of the gluing data between flat Minkowskian patches as the lengths of certain geodesic curves of an associated smooth Riemann surface of the same genus. The appearance of an initial big-bang or a final big-crunch singularity (but never both) is verified for all configurations. Points in P correspond to spacetimes which admit a one-polygon tessellation, and we conjecture that P is already the complete physical phase space of the polygon model. Our results open the way for numerical investigations of pure (2+1) gravity.

Affiliated with

Also associated with

No associations

Rating

(2+1) gravity for higher genus in the polygon model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with (2+1) gravity for higher genus in the polygon model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and (2+1) gravity for higher genus in the polygon model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-252532